A variational formula for Dirichlet forms and existence of ground states

Masayoshi Takeda

doi:10.1016/j.jfa.2013.10.024

A variational formula for Dirichlet forms and existence of ground states

Masayoshi Takeda

理学研究科・数学専攻

研究成果: Article › 査読

10 被引用数 (Scopus)

抄録

Let L be the generator of a symmetric Markov process on a locally compact separable metric space, and μ a certain measure in the Kato class. Employing a variational formula for Dirichlet forms, we show the existence of a ground state of the time-changed operator -1μL or the Schrödinger-type operator -L+μ.

本文言語	English
ページ（範囲）	660-675
ページ数	16
ジャーナル	Journal of Functional Analysis
巻	266
号	2
DOI	https://doi.org/10.1016/j.jfa.2013.10.024
出版ステータス	Published - 2014 1 15

ASJC Scopus subject areas

Analysis

文献へのアクセス

10.1016/j.jfa.2013.10.024

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引用スタイル

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KW - Dirichlet form

KW - Ground state

KW - Symmetric Markov process

KW - Variational formula

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